400803480 has 384 divisors, whose sum is σ = 1711756800. Its totient is φ = 78796800.

The previous prime is 400803467. The next prime is 400803511. The reversal of 400803480 is 84308004.

It is a super-2 number, since 2×400803480² = 321286859160220800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 526300 + ... + 527060.

It is an arithmetic number, because the mean of its divisors is an integer number (4457700).

Almost surely, 2^400803480 is an apocalyptic number.

400803480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400803480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855878400).

400803480 is an abundant number, since it is smaller than the sum of its proper divisors (1310953320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

400803480 is a wasteful number, since it uses less digits than its factorization.

400803480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 400803480 is about 20020.0769229291. The cubic root of 400803480 is about 737.2993107096.

The spelling of 400803480 in words is "four hundred million, eight hundred three thousand, four hundred eighty".